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Finding the Fourth Proportional to 1,222.79, 1,834.56 and 389.97

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Solution

The fourth proportional to 1,222.79, 1,834.56 and 389.97 is: 585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.79 : 1,834.56 = 389.97 : x
  2. Step 2: Convert to fraction form
    1,222.79/1,834.56 = 389.97/x
  3. Step 3: Cross multiply
    1,222.79x = 1,834.56 × 389.97
  4. Step 4: Simplify right side
    1,222.79x = 715,423.36
  5. Step 5: Solve for x
    x = 715,423.36/1,222.79
  6. Step 6: Final answer
    x = 585.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.